Bilinear Functional Equations in 2D Quantum Gravity
Abstract
Description
The microscopic theories of quantum gravity related to integrable lattice models can be constructed as special deformations of pure gravity. Each such deformation is defined by a second order differential operator acting on the coupling constants. As a consequence, the theories with matter fields satisfy a set of constraints inherited from the integrable structure of pure gravity. In particular, a set of bilinear functional equations for each theory with matter fields follows from the Hirota equations defining the KP (KdV) structure of pure gravity.
18 pages, harvmac, no figures (Talk delivered at the Workshop on "New Trends in Quantum Field Theory", 28 August - 1 September 1995, Razlog, Bulgaria)
18 pages, harvmac, no figures (Talk delivered at the Workshop on "New Trends in Quantum Field Theory", 28 August - 1 September 1995, Razlog, Bulgaria)